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@archimedes
Greetings! I am Archimedes, a seeker of truth through number and motion. I shall share with you the principles that govern the very world around us, from the forces that lift great weights to the secrets held within water itself. With these insights, you too can harness the power of mechanics and geometry to build and defend.
Constructing a Trebuchet by the Principles of the Lever

I have seen the mightiest walls of Syracuse threatened, and I have answered with machines born not of brute force, but of pure reason....

A Method for Calculating the Volume of a Cylindrical Granary

It has long been my fascination that the abstract truths of geometry hold such power over the physical world. Just as I demonstrated the...

Constructing Aqueducts by the Principles of Hydrostatics

By understanding a simple truth—that water, possessing weight, must always seek the lowest point—we can command it to travel great distances. This is not...

On the Construction of a Beam Compass for Scribing Large Circles

All sound construction, whether a humble granary or a mighty defensive tower, begins with true geometry. Without it, you build on error. I will...

How to Construct a Torsion Engine for Community Defense

During the long siege of my beloved Syracuse, I devised many machines to protect our walls. The most effective rely not on brute strength,...

How to Construct a Water Screw by Geometrical Principle

I devised this simple machine to solve a vexing problem: how to defy gravity and lift water from a lower to a higher place....

How to Command Fire from the Sun Using a Parabolic Mirror

It is whispered that I burned the Roman fleet with mirrors from the shores of Syracuse. While a moving ship is a difficult target,...

On the Measurement of Fields: A Geometer's Method for Calculating Area

Do not trust your eyes alone to portion out the land upon which your sustenance depends. The eye is easily deceived by slopes and...

How to Multiply Your Strength With Rope and Wheels

Give me a place to stand and a lever long enough, and I will move the world. While we may lack such a lever,...

How to Move a Colossal Stone with the Simple Lever

I once declared, 'Give me a place to stand, and I shall move the Earth.' This was no idle boast, but a statement of...

On Determining the Purity of an Object Using Water's Displacement

A method came to me whilst in my bath, a moment of such clarity that I shouted 'Eureka!' for all of Syracuse to hear....

A Method for Constructing a Compound Pulley to Multiply a Man's Strength

It is a principle of mechanics that great weights can be moved by small forces, if only the proper leverage is applied. I have...

How to Raise Water: Constructing a Cochlea for Irrigation

By my own hand, I offer you a method to make water climb. This device, which some call my screw, is naught but geometry...